Question

What is the pattern in the values as the exponents increase?

Answer 1

"Multiply the previous value by 2"

Explanation:

Let's check the first 2 terms for all the answer choices.

1. Add
`(1)/(16)` to the previous value:

`(1)/(32)+(1)/(16)=(3)/(32)`

Doesn't match.

2. Subtract
`(1)/(16)` from the previous value:

`(1)/(32)-(1)/(16)=-(1)/(32)`

Doesn't match.

3. Divide the previous value by 2:

`((1)/(32))/(2)\\=(1)/(32)*(1)/(2)=(1)/(64)`

Doesn't match.

4. Multiply the previous value by 2:

`(1)/(32)*2=(2)/(32)=(1)/(16)`

DOES WORK!

Also, doing the same thing with all the other values would give us matching answer. So this choice is right.